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umka2103 [35]
4 years ago
6

A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting

out square corners with side length x centimeters. Which expression represents the volume of the box in terms of x?
(2x−27)(2x−18)x

(27−2x)(18−2x)x

(27−x)(18−x)x

(27−2x)(18−2x)4x
Mathematics
2 answers:
GaryK [48]4 years ago
8 0
By cutting each corner we have that the resulting dimensions are:
 27 - 2x
 18 - 2x
 Height = x
 Therefore, the volume of the box in terms of the variable x, is given by:
 V (x) = (x) * (27-2x) * (18-2x)
 Answer:
 
The volume of the box in terms of x is:
 
(27-x) (18-x) x
svetoff [14.1K]4 years ago
3 0

Answer:

(27-2x) (18-2x)x

Step-by-step explanation:

just took the test

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Higher-order thinking What two multiplication tables can help you find 3x 9? How could you use 3 x 9 to find 9 x 3?​
babunello [35]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
The ratio of oil to vinegar is 8:5 how much oil blended with 7 liters vinegar for recipe
Ugo [173]
Write and solve an equation of ratios:

oil       8          x
---- = ---- = -----------
vin      5      7 liters

Then 5x = 56, and x = 56/5 liters (of vinegar)
3 0
3 years ago
Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo
bija089 [108]
<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by \sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}} provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}

\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}

\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}

\implies\sf{x=\frac{1 \pm\: 7}{4}}

Solving one by one,

\implies\sf{x=\frac{1 + \: 7}{4}}

\implies\sf{x=\frac{8}{4}}

\implies{\boxed{\bf{x=2}}}

________________

\implies\sf{x=\frac{1 - \: 7}{4}}

\implies\sf{x=\frac{-6}{4}}

\implies{\boxed{\bf{x=\frac{-3}{2}}}}

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

<em>________________________________</em>

Hope it helps!! (:

4 0
2 years ago
Adison earned $25 mowing her neighbors lawn. Then she loaned her friend $18 and got $50 from her grandmother. She now has $86. H
Marat540 [252]
29 dollars because 25-18+50=57 and 86-57=29
4 0
3 years ago
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